Find g'(0) if g(0) = cos 0 sin 0. [A] cos²0 [B] cos²0 + 1 [C] cos²0 sin²0 - - [D] sin²0 [E] sin²0 + cos

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Question
. Find g'(0) if g(0) = cos 0 sin 0.
[A] cos²0
[B] cos²0 + 1
[C] cos20 sin²0
[D] sin²0
[E] sin²0 + cos
Transcribed Image Text:. Find g'(0) if g(0) = cos 0 sin 0. [A] cos²0 [B] cos²0 + 1 [C] cos20 sin²0 [D] sin²0 [E] sin²0 + cos
Expert Solution
Step 1

As we know that;

The Product rule:

f·g'=f'·g+f·g'

Use the common derivatives.

ddxsinx=cosxddxcosx=-sinx

 

The given function is:

gθ=cosθsinθ

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